Answer:
3^6-4x=3^3x-3
Step-by-step explanation:
9^3-2x = 27^x-1 ( 9 is 3² and 27 is 3³)
(3²)^3-2x= (3³)^x-1 in case of exponential between brackets , multiply the exponents.
3^6-4x=3^3x-3
Answer:
x = 9/7
Step-by-step explanation:
9^3-2x = 27^x-1
(3^2)^3-2x = (3^3)^x-1
3^2(3-2x) = 3^3(x-1)
2(3-2x) = 3(x-1)
2(-2x+3) = 3x - 3
-4x + 6 = 3x - 3
-4x = 3x - 9
-7x = -9
x = -9/-7
x = 9/7
WILL MARK BRAINLIEST!!!!!!!! :))))))))))))))))
Answer:
(A) No solution
(B) One solution
(C) One solution
(D) One solution
(E) No solution
Please tell me if this is incorrect. I hope this helps!
Write the expression in standard form. Then find the degree, leading coefficient, and constant of the polynomial.
(2x + 3) (3x – 5)
Degree:
Leading Coefficient:
Constant:
Answer:
6x²-x-15
degree: second
leading coefficient : 6 , -1
constant : -15
Step-by-step explanation:
(2x + 3) (3x – 5)=
6x²+9x-10x-15=
6x²-x-15
degree: second
leading coefficient : 6 , -1
constant : -15
Tasha wants to find out if she is going to pass her test. She decides that she will
simulate her test by flipping a coin. This means
a) There is a 50-50 chance she will pass her test.
b) All of the questions are multiple choice.
c) She hasn't studied.
d) There is a 20% chance she will pass.
Answer:
A
Step-by-step explanation:
Since a coin only has two sides, the test must be referring to the fact that she has a 50, 50 shot at passing.
PLEASE HELP ME TO COMPLETE THIS QUESTION
Answer:
Step-by-step explanation:
a) Increase in population =510,000 - 430,000 = 80,000
Percentage increase = [tex]\frac{80,000}{430,000}*100[/tex]
= [tex]\frac{800}{43}[/tex]
= 18.6 %
b) Percentage increase = 17.3%
Increase in population = 17.3% * 510,000
= 0.173 * 510,000
= 88,230
Predicted population in 2021 = 510,000 + 88,230
= 598,230
Please answer it now
Answer:
s= 15 (nearest integer), 14.8 (to nearest 10ths)
Step-by-step explanation:
here you need to apply the cosine rule,
[tex] {s}^{2} = {u}^{2} + {t}^{2} - 2ut \cos(s) [/tex]
substituting the values,
u= 13, t=5 and angle S as 60 and solving will give you the answer 14.76 (2 dp)
To get to the park from her house, Rachel walked 4 kilometers due north and then 3 kilometers due west. On the way back, she cut across a field, taking the shortest
possible route home,
How far did Rachel walk on the round-trip?
Answer:
12 km
Step-by-step explanation:
Using the Pythagorean Theorem, you know that 3^2 + 4^2 = x^2, so 9 + 16 = x^2, which means that x = the square root of 25, which is 5. Then you add all three lengths of the triangle together to get the round trip. 3 + 4 + 5= 12.
Determine the equation of a line that passes through the points: (3, 12) and (- 2, -13)
Answer:
Step-by-step explanation:
(-13-12)/(-2-3)= -25/-5= 5
y - 12 = 5(x - 3)
y - 12 = 5x - 15
y = 5x - 3
Please help I don't understand this at all
Answer:
Since ΔABC is equilateral, ∠ACB = 60°. Since ΔCED is isosceles (we know this because CE = ED from the graph), ∠ECD = ∠EDC from Base Angles Theorem, and since the sum of angles in a triangle is 180°, they measure (180 - 32) / 2 = 74° each. Since BCD is a straight line, it measures 180° so we can write:
60 + x + 74 = 180
134 + x = 180
x = 46°
Answer:
46 degrees
Step-by-step explanation:
Since triangle ABC is equilateral that means each angle in that triangle is 60 degrees.
We also know that for triangle ECD angle C and angle D have to be 74 degrees, because a triangle has 180 degrees in total and the only unique angle is at the top which is 32. So it is 180-32=148, than 148/2=74.
We than know that a half circle is 180 degrees aswell, so we do 180-60=120
120-74=46
The width of a rectangle is 3 meters more than half of the length. the perimeter is 516 meters. What is the length and the width?
Answer:
Length = 8 meters
Width = 5 meters
Step-by-step explanation:
2*(3 + (1/4)L + L) = 26 meters
1/4L + L = 26/2 - 3
1/4L + 4/4L = 10
5/4L = 10
L = 10 * 4/5
L = 40/5 = 8 meters
W = 3 + 1/4 L
W = 3 + 1/4 *8
W = 3 + 2
W = 5 meters
Hey there! I'm happy to help!
Let's write this out as a system of equations. We will have W be the width and L be the length.
W=0.5L+3
2L+2W=516
Since we know that W is equal to 0.5L+3, we can swap the W in the second equation with 0.5L+3 so we can solve for L!
2L+2(0.5L+3)=516
We use the distributive property to undo the parentheses.
2L+L+6=516
We combine like terms.
3L+6=516
We subtract 6 from both sides.
3L=510
We divide both sides by 3.
L=170
Now, we know that the width is 3 meters more than half the length. So, we take 1/2 of 170, which is 85, and then we add three, giving us 88.
So, our length is 170 meters and the width is 88 meters.
Have a wonderful day!
Please answer this question now
Answer:
x=33
Step-by-step explanation:
x-9=24 the tangent of the circle are equal in length
x=33
HELP!
Andrea has a $25 gift card
to a art store. She buys four canvases that are each the same price. If she now has $2.20 on her gift card, what was the price of each canvas?
Answer:
$5.70
Step-by-step explanation:
1. 25.00 - 2.20 = $22.80
2. 22.80 divided by 4 = $5.70
Answer:
$5.70
Step-by-step explanation:
let the price for each canvas be $x
hence the price of 4 canvases will be $4x
It is given that after she paid for 4 canvases, she had a balance of $2.20 on her orginally $25 gift card.
Hence we can assemble an equation:
$4x + $2.20 = $25
4x + 2.2 = 25 (subtract 2.2 from both sides)
4x = 25 - 2.2
4x =22.8 (divide both sides by 4)
x = 22.8 / 4
x = 5.7
Hence each canvas cost $5.70
How many feet are in a yard? How many feet are in a mile? How many yards are in a mile? Please answer this. Thank you!
Answer:
352801760Step-by-step explanation:
1 yard = 3 feet
1 mile = 5280 feet
1 mile = 1760 yards ... (5280 ft/mi)/(3 ft/yd) = 1760 yd/mi
Please Answer its timed The dimensions of a rectangle are represented by the functions shown. g(x)+3x-4 f(x)=2x-9 Which function represents the area of the rectangle? 6x2 – 8x + 36 6x2 – 27x + 36 6x2 – 35x + 36 6x2 + 35x + 36
Answer:
[tex]\boxed{6x^2-35x+36}[/tex]
Step-by-step explanation:
The dimensions of the rectangle are represented by functions:
[tex]g(x)=3x-4 \\f(x)=2x-9[/tex]
The area is length × width of a rectangle.
[tex]length \times width[/tex]
[tex](3x-4)(2x-9)[/tex]
Expand brackets and solve.
[tex]6x^2-27x-8x+36[/tex]
[tex]6x^2-35x+36[/tex]
Answer:
6x squared - 35x + 36
Step-by-step explanation:
When you multiply the two functions together, this is what you get.
helllpp pleaseee.....
Answer:
I hope its your required answer because 9.2 is smaller than 9.5.
i hope it works...
best of luck....
Ahmad spent $27 on fruit at the grocery store. He spent a total of $45 at the store. What percentage of the total did he spend on fruit?
Answer:
60%Step-by-step explanation:
[tex]\frac{27}{45} \times 100/1\\= \frac{2700}{45}\\ \\=60\%[/tex]
Answer:
60 %
Step-by-step explanation:
To find the percentage spent on fruit, take the amount spent on fruit over the total amount
27/45
.6
Change to a percent by multiplying by 100
60%
j is 7 times as large as 6. Solve for j. j=
Answer:
42
Step-by-step explanation:
7 times as large as 6 = 7 * 6
7 * 6 = 42
Hope this helps
Answer:
42
Step-by-step explanation:
The radius of a cylinder is doubled and its height is halved. Find the ratios of their surface areas.
Answer: 1:1
Step-by-step explanation:
Let r be the radius and h be the height of a cylinder.
Formula: Curved surface area of cylinder = [tex]2\pi rh[/tex]
Now, if radius of a cylinder is doubled and its height is halved, then new radius will be R= 2r and new height will be [tex]H=\dfrac{1}{2}[/tex]
Now, new surface area = [tex]2\pi RH= 2\pi(2r)\dfrac{h}{2}= 2\pi rh[/tex]
Ratio of curved surface areas : [tex]\dfrac{\text{Surface area}}{\text{New surface area}}=\dfrac{2\pi rh}{2\pi rh}=\dfrac{1}{1}[/tex]
Hence, the ratios of their surface areas = 1:1 .
(5in.)(8 in.)
--------------
2
Answer:
20
Step-by-step explanation:
(8 * 5) / 2
=> 40/2
=> 20
Marx and Engels believed that a. people in a good environment would behave unselfishly. b. people should create utopian communities. c. the capitalist system should be destroyed. d. workers should improve conditions by taking political office. Please select the best answer from the choices provided A B C D
Q;- Marx and Engels believed that a. people in a good environment would behave unselfishly. b. people should create utopian communities. c. the capitalist system should be destroyed. d. workers should improve conditions by taking political office. Please select the best answer from the choices provided A B C D
A;- Marx and Engels believed that the capitalist system should be destroyed.
Determine the nature of the roots 4x^2 + 13x + 6 = 0 a.no real solutions b.cannot be determined c.a unique real solution d.two distinct real solutions
Answer:
D
Step-by-step explanation:
Try factoring the equation
Answer:
D Edge 2020-2021
Step-by-step explanation:
I got it right on the quiz
Evaluate 55 ÷ 11 + (13 x 3)
Step-by-step explanation:
55 ÷ 11 + (13 x 3)
5 + (13 x 3)
5 + 39
44
Answer:
44
Step-by-step explanation:
13 * 3 = 39
55/11 = 5
5 + 39 = 44
I hope I helped! Please mark me brainliest!
Suppose you took eight math tests this semester. If your average score on your first six tests was 84 and your average score on all eight tests was 86, then what was the average of your last two test scores? avamarie Apr 27, 2020
Answer: 92
Step-by-step explanation:
Formula : Sum of first n numbers = Average x n
Given: Average score on first 6 tests= 84
A score on all 8 tests = 86
Then, Sum of first 6 numbers = 84 x 6 = 504
Sum of first 8 numbers = 86 x 8 = 688
Sum of two last numbers = (Sum of first 8 numbers) - (Sum of first 6 numbers)
= 688-504
=184
Average of last two numbers = (Sum of two last numbers )÷2
= 184÷2
= 92
Hence, the average of your last two test scores = 92.
HELP PLEASE !!!!
A
B
C
D
E
???
Answer:
A is the answer
Step-by-step explanation:
first take out the common factors ithe numerator and then after that take the common factors of denominator and then common terms cancels off and 3/n will remain
Answer:
A
Step-by-step explanation:
Factorize.
(3m(2m² + n²)/(mn(2m² + n²))
Cancel common factor.
3m/mn
Simplify.
3/n
area of parallelogramis 30 cm^2. if the length of two adjacent sides are 6 cm and 10 cm respectively. find its diagonal
Answer:
the long diagonal d=15.49 ( rounded to the nearest hundredth)
the shortest d=√136-120(cos 30)=5.663 ( rounded to the nearest hundredth)
Step-by-step explanation:
Area=height * base
30=h*6
h=30/6=5 cm
height=asinФ
sinФ=5/10=1/2 (Ф=30)
alternate angle=180
180-30=150 degrees
diagonal²=a^2+b^2-2abcos150
d²=10²+6²-2(10)(6)(-√3/2)
d=√136+60(√3)
the long diagonal d=15.49 ( rounded to the nearest hundredth)
the shortest d=√136-120(cos30)=5.663
Eiko is wearing a magic ring that increases the power of her healing spell by 30\%30%30, percent. Without the ring, her healing spell restores HHH health points. Which of the following expressions could represent how many health points the spell restores when Eiko is wearing the magic ring?
Answer:
Options B: and C:
Step-by-step explanation:
Remember that 30% in fraction form is
The amount of health points (H) restored would depend on the amount of the current H so it means it would add 30% of the current which we can write as:
And since it would add that to the current total we can right the current total as:
So our equation would be:
For option B:
We can factor out the H and you will be left with:
Combine or add the fractions inside the parenthesis and you will have:
For option C:
We can simplify the fractions which will result in:
Then factor out the H and you will have:
Options B: and C:
Step-by-step explanation:
Remember that 30% in fraction form is
The amount of health points (H) restored would depend on the amount of the current H so it means it would add 30% of the current which we can write as:
And since it would add that to the current total we can right the current total as:
So our equation would be:
For option B:
We can factor out the H and you will be left with:
Combine or add the fractions inside the parenthesis and you will have:
For option C:
We can simplify the fractions which will result in:
Then factor out the H and you will have:
HOPE I HELPED
PLS MARK BRAINLIEST
DESPERATELY TRYING TO LEVEL UP
✌ -ZYLYNN JADE ARDENNE
JUST A RANDOM GIRL WANTING TO HELP PEOPLE!
PEACE!
I have never understood these. Help.
Answer:
5 sqrt(5)
Step-by-step explanation:
sqrt(125)
sqrt( 25*5)
We know that sqrt(ab) = sqrt(a) sqrt(b)
sqrt(25) sqrt(5)
5 sqrt(5)
Answer:
5√(5)
Step-by-step explanation:
Notice that 125 is 25×5
If you couldn't do it use the prime factorization.
Prime numbers are 2,3,5.....
125 isn't divisible by 2 and 3 so we'll go with 5.
● 125 ÷ 5 = 25
Againg 25 is divisible by 5
● 25÷5 = 5
5 is divisible by 5
● 5÷5=1
So 125= 5×5×5 = 5^2 × 5
● √(125)= √(5^2×5) = 5√(5)
This a math question plz help asap with correct answer and explanation will give brainiest
Answer:
Hey there!
This is an isosceles triangle, so if one angle is 44 degrees, (2 times 22), then the remaining angles add to 136 degrees.
136/2=68, so each of the angles are 68 degrees.
Hope this helps :)
Answer:
C = 68
Step-by-step explanation:
Y = 22
Then A = 2y = 2*22 = 44
We know that A + B + C = 180
And B = C since the base angles of an isosceles triangle are the same
44 + C+C = 180
44+2C = 180
2C = 180-44
2C =136
C = 68
Hey can anyone help me with this question?Identify the side or angle that is common to ∆ABC and ∆CDA.
Answer:
Answer D
Step-by-step explanation:
You can see that AC belongs to both triangles (ABC and CDA), you AC is the common side.
The Acme Candy Company claims that 60% of the jawbreakers it produces weigh more than 0.4 ounces. Suppose that 800 jawbreakers are selected at random from the production lines. Would it be significant for this sample of 800 to contain 494 jawbreakers that weigh more than 0.4 ounces? Consider as significant any result that differs from the mean by at least 2 standard deviations. That is, significant values are either less than or equal to muminus2sigma or greater than or equal to muplus2sigma.
Answer:
Yes, it would be statistically significant
Step-by-step explanation:
The information given are;
The percentage of jawbreakers it produces that weigh more than 0.4 ounces = 60%
Number of jawbreakers in the sample, n = 800
The mean proportion of jawbreakers that weigh more than 0.4 = 60% = 0.6 = [tex]\mu _ {\hat p}[/tex] =p
The formula for the standard deviation of a proportion is [tex]\sigma _{\hat p} =\sqrt{\dfrac{p(1-p)}{n} }[/tex]
Solving for the standard deviation gives;
[tex]\sigma _{\hat p} =\sqrt{\dfrac{0.6 \cdot (1-0.6)}{800} } = 0.0173[/tex]
Given that the mean proportion is 0.6, the expected value of jawbreakers that weigh more than 0.4 in the sample of 800 = 800*0.6 = 480
For statistical significance the difference from the mean = 2×[tex]\sigma _{\hat p}[/tex] = 2*0.0173 = 0.0346 the equivalent number of Jaw breakers = 800*0.0346 = 27.7
The z-score of 494 jawbreakers is given as follows;
[tex]Z=\dfrac{x-\mu _{\hat p} }{\sigma _{\hat p} }[/tex]
[tex]Z=\dfrac{494-480 }{0.0173 } = 230.94[/tex]
Therefore, the z-score more than 2 ×[tex]\sigma _{\hat p}[/tex] which is significant.
Answer:
Step-by-step explanation:
min 452, max 507, so 494 is not unusual.
A city park contain garden paths ( about 10% ) a lake ( about 15% ) and tennis courts. If the park is 2.4 ha and the tennis courts occupy a rectangular plot 60cm by 50cm how many hectares are left for garden?
Answer:
As i understand it:
The total park is 2.4 ha
10% of that is paths and 15% of that is a lake.
So a 10% + 15% = 25% is taken.
So we have left a 75% of the park, this is:
Left = (75%/100%)2.4 ha = 0.75*2.4ha = 1.8 ha.
Now we also need to subtract the are of the tennis court.
The tennis court occupies a rectangular plot of 60m by 50m (you actually wrote cm here, but i guess it was a mistake, we can not have a tennis court of 60cm by 50cm)
So the area of the tennis court is:
A = 60m*50m = 3,000 m^2
But we want to write it in ha
We know that:
1ha = 10,000m^2
then 3,000m^2 = (3,000/10,000) ha = 0.3 ha
Then the left area is:
L = 1.8 ha - 0.3ha = 1.5 ha.